CodeForces 416A Guess a number!

链接:http://codeforces.com/problemset/problem/416/A

Guess a number!

time limit per test:1 second
memory limit per test:256 megabytes
input:standard input
output:standard output

A TV show called "Guess a number!" is gathering popularity. The whole Berland, the old and the young, are watching the show.

The rules are simple. The host thinks of an integer y and the participants guess it by asking questions to the host. There are four types of acceptable questions:

  • Is it true that y is strictly larger than number x?
  • Is it true that y is strictly smaller than number x?
  • Is it true that y is larger than or equal to number x?
  • Is it true that y is smaller than or equal to number x?

On each question the host answers truthfully, "yes" or "no".

Given the sequence of questions and answers, find any integer value of y that meets the criteria of all answers. If there isn't such value, print "Impossible".

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 10000) — the number of questions (and answers). Next n lines each contain one question and one answer to it. The format of each line is like that: "sign x answer", where the sign is:

  • ">" (for the first type queries),
  • "<" (for the second type queries),
  • ">=" (for the third type queries),
  • "<=" (for the fourth type queries).

All values of x are integer and meet the inequation  - 109 ≤ x ≤ 109. The answer is an English letter "Y" (for "yes") or "N" (for "no").

Consequtive elements in lines are separated by a single space.

Output

Print any of such integers y, that the answers to all the queries are correct. The printed number y must meet the inequation  - 2·109 ≤ y ≤ 2·109. If there are many answers, print any of them. If such value doesn't exist, print word "Impossible" (without the quotes).

Sample test(s)

Input
4
>= 1 Y
< 3 N
<= -3 N
> 55 N
Output
17
Input
2
> 100 Y
< -100 Y
Output
Impossible

直接模拟,附上AC代码:


#include <iostream>
#include <cstdio>
#include <string>
#include <cmath>
#include <iomanip>
#include <ctime>
#include <climits>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <queue>
#include <vector>
#include <set>
#include <map>
//#pragma comment(linker, "/STACK:102400000, 102400000")
using namespace std;
typedef unsigned int li;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
const double pi = acos(-1.0);
const double e = exp(1.0);
const double eps = 1e-8;
int n, x;
char sign[5], answer;

int main()
{
	ios::sync_with_stdio(false);
	while (~scanf("%d", &n))
	{
		int maxy = 2000000000;
		int miny = -2000000000;
		while (n--)
		{
			scanf("%s%d %c", sign, &x, &answer);
			if (!strcmp(">", sign))
			{
				if (answer == 'Y')
					miny = max(miny, x+1);
				else
					maxy = min(maxy, x);
			}
			else if (!strcmp(">=", sign))
			{
				if (answer == 'Y')
					miny = max(miny, x);
				else
					maxy = min(maxy, x-1);
			}
			else if (!strcmp("<", sign))
			{
				if (answer == 'Y')
					maxy = min(maxy, x-1);
				else
					miny = max(miny, x);
			}
			else
			{
				if (answer == 'Y')
					maxy = min(maxy, x);
				else
					miny = max(miny, x+1);
			}
		}
		if (miny > maxy)
			printf("Impossible\n");
		else
			printf("%d\n", miny);
	}
	return 0;
}


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